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Finding the Fourth Proportional to 47,292.54, 65,294.10 and 29,411.88

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Solution

The fourth proportional to 47,292.54, 65,294.10 and 29,411.88 is: 40,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,292.54 : 65,294.10 = 29,411.88 : x
  2. Step 2: Convert to fraction form
    47,292.54/65,294.10 = 29,411.88/x
  3. Step 3: Cross multiply
    47,292.54x = 65,294.10 × 29,411.88
  4. Step 4: Simplify right side
    47,292.54x = 1,920,422,233.91
  5. Step 5: Solve for x
    x = 1,920,422,233.91/47,292.54
  6. Step 6: Final answer
    x = 40,607.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.